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Finding the Fourth Proportional to 100,179.70, 150,031 and 57,970.80

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Solution

The fourth proportional to 100,179.70, 150,031 and 57,970.80 is: 86,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,179.70 : 150,031 = 57,970.80 : x
  2. Step 2: Convert to fraction form
    100,179.70/150,031 = 57,970.80/x
  3. Step 3: Cross multiply
    100,179.70x = 150,031 × 57,970.80
  4. Step 4: Simplify right side
    100,179.70x = 8,697,417,094.80
  5. Step 5: Solve for x
    x = 8,697,417,094.80/100,179.70
  6. Step 6: Final answer
    x = 86,818.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.